math mathwiki https://math.miraheze.org/wiki/Main_Page MediaWiki 1.40.1 first-letter Media Special Talk User User talk math math talk File File talk MediaWiki MediaWiki talk Template Template talk Help Help talk Category Category talk Module Module talk 0 1 1 2023-09-30T18:04:06Z MediaWiki default 1 Create main page wikitext text/x-wiki __NOTOC__ == Welcome to {{SITENAME}}! == This Main Page was created automatically and it seems it hasn't been replaced yet. === For the bureaucrat(s) of this wiki === Hello, and welcome to your new wiki! Thank you for choosing Miraheze for the hosting of your wiki, we hope you will enjoy our hosting. You can immediately start working on your wiki or whenever you want. Need help? No problem! We will help you with your wiki as needed. 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You can find us here: * [[meta:Special:MyLanguage/Help center|On our own Miraheze wiki]] * On [[phab:|Phabricator]] * On [https://miraheze.org/discord Discord] * On IRC in #miraheze on irc.libera.chat ([irc://irc.libera.chat/%23miraheze direct link]; [https://web.libera.chat/?channel=#miraheze webchat]) === For visitors of this wiki === Hello, the default Main Page of this wiki (this page) has not yet been replaced by the bureaucrat(s) of this wiki. The bureaucrat(s) might still be working on a Main Page, so please check again later! 55af78a233dc6a8f05a954370e828c7b346d11b6 0 2 2 2023-09-30T18:45:31Z Retix 3 Created page with "Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory,[1] algebra,[2] geometry,[1] and analysis,[3][4] respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathemati..." wikitext text/x-wiki Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory,[1] algebra,[2] geometry,[1] and analysis,[3][4] respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature or—in modern mathematics—entities that are stipulated to have certain properties, called axioms. A proof consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, and—in case of abstraction from nature—some basic properties that are considered true starting points of the theory under consideration.[5] Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent from any scientific experimentation. Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics. Other areas are developed independently from any application (and are therefore called pure mathematics), but often later find practical applications.[6][7] The problem of integer factorization, for example, which goes back to Euclid in 300 BC, had no practical application before its use in the RSA cryptosystem, now widely used for the security of computer networks. Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements.[8] Since its beginning, mathematics was essentially divided into geometry and arithmetic (the manipulation of natural numbers and fractions), until the 16th and 17th centuries, when algebra[a] and infinitesimal calculus were introduced as new areas. Since then, the interaction between mathematical innovations and scientific discoveries has led to a rapid lockstep increase in the development of both.[9] At the end of the 19th century, the foundational crisis of mathematics led to the systematization of the axiomatic method,[10] which heralded a dramatic increase in the number of mathematical areas and their fields of application. The contemporary Mathematics Subject Classification lists more than 60 first-level areas of mathematics. 799c2bd2e4be79cfc9a6fc1354fc20fff71d7b98 6 3 5 2023-09-30T18:52:30Z Retix 3 wikitext text/x-wiki da39a3ee5e6b4b0d3255bfef95601890afd80709